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Simplifying 77 = -7(6v + 7) Reorder the terms: 77 = -7(7 + 6v) 77 = (7 * -7 + 6v * -7) 77 = (-49 + -42v) Solving 77 = -49 + -42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42v' to each side of the equation. 77 + 42v = -49 + -42v + 42v Combine like terms: -42v + 42v = 0 77 + 42v = -49 + 0 77 + 42v = -49 Add '-77' to each side of the equation. 77 + -77 + 42v = -49 + -77 Combine like terms: 77 + -77 = 0 0 + 42v = -49 + -77 42v = -49 + -77 Combine like terms: -49 + -77 = -126 42v = -126 Divide each side by '42'. v = -3 Simplifying v = -3
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